Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 216
nalogous to therelation of the auxiliary circle to the ellipse. 152. The conjugate hyperbola. — This is the hyperbolawhich has BB for its transverse axis and AA for its conju-gate axis. To get its equation, put x for y, and a for hy inthe equation a ^2 •^• We obtain ^ _ |^ = _ 1. It may also be… … Fig. 125. P is any point on the curve whose ordinate meets OK in Q.Then from the equation of the hyperbola we get, y [PN] = - V^^^T^^ (1) The equation of OK is y (2) PK being always less than QN, we haveb , ah X -\- \lx^ — (X^ From this it is evident that by taking x large enough,PQ may be made…
Geometry, Analytic
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
